10.23 The MINITAB printout shows a test for the difference in two population means.

a. Do the two sample standard deviations indicate that the assumption of a common population variance is reasonable?

b. What is the observed value of the test statistic? What is the p-value associated with this test?

c. What is the pooled estimate s of the population variance?

d. Use the answers to part b to draw conclusions about the difference in the two population means.

e. Find the 95% confidence interval for the difference in the population means. Does this interval confirm your conclusions in part d?

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MINITAB output for Exercise 10.23 Two-Sample T-Test and Cl: Sample 1, Sample 2 Two-sample T for Sample 1 vs Sample 2 N Mean StDev SE Mean Sample 1 6 29.00 4.00 1.6. Sample 2 7 28.86 4.67 1.8 Difference mu (Sample 1) - (Sample 2) Estimate for difference: 0.14 95% CI for difference: (-5.2, 5.5) T-Test of difference = 0 (vs not =) : T-Value = 0.06 P-value = 0.95 DF = 11 Both use Pooled StDev = 4.38